A252825 Number of nX5 nonnegative integer arrays with upper left 0 and every value within 3 of its city block distance from the upper left and every value increasing by 0 or 1 with every step right or down

15, 142, 1238, 9075, 54376, 271846, 1165921, 4396009, 14863460, 45791493, 130210765, 345350438, 861722537, 2037396931, 4591832266, 9915068062, 20600380173, 41336047432, 80360448168, 151781791285, 279198974102

Offset

1,1

Comments

Column 5 of A252828

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = (29/130767436800)*n^15 + (29/1743565824)*n^14 + (761/1437004800)*n^13 + (4567/479001600)*n^12 + (156803/1437004800)*n^11 + (467/537600)*n^10 + (4895111/914457600)*n^9 + (8221817/304819200)*n^8 + (969313/9331200)*n^7 + (3241009/10886400)*n^6 + (129913907/179625600)*n^5 + (29795933/19958400)*n^4 + (1495061807/454053600)*n^3 + (185734933/50450400)*n^2 + (148987/27720)*n

Example

Some solutions for n=4
..0..1..1..2..3....0..1..1..2..2....0..1..2..3..3....0..1..2..2..2
..1..2..2..3..3....0..1..1..2..3....1..2..3..3..3....1..1..2..2..3
..2..2..3..3..3....1..1..1..2..3....1..2..3..4..4....1..2..3..3..4
..3..3..3..4..4....1..2..2..3..4....1..2..3..4..4....2..3..4..4..5

Crossrefs

Sequence in context: A093117 A045724 A241402 * A279921 A179524 A235864

Adjacent sequences: A252822 A252823 A252824 * A252826 A252827 A252828

Keyword

nonn

Author

R. H. Hardin, Dec 22 2014

Status

approved